The product of two irrational numbers can be which of the following?

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Multiple Choice

The product of two irrational numbers can be which of the following?

Explanation:
The product of two irrational numbers can be either rational or irrational. This happens because there’s no rule that multiplying irrationals must produce a specific type of number. For example, sqrt(2) times sqrt(2) equals 2, which is rational. But sqrt(2) times sqrt(3) equals sqrt(6), which is irrational. Since neither factor is zero, the product cannot be zero, so the answer that the product can be rational or irrational best captures all possibilities.

The product of two irrational numbers can be either rational or irrational. This happens because there’s no rule that multiplying irrationals must produce a specific type of number. For example, sqrt(2) times sqrt(2) equals 2, which is rational. But sqrt(2) times sqrt(3) equals sqrt(6), which is irrational. Since neither factor is zero, the product cannot be zero, so the answer that the product can be rational or irrational best captures all possibilities.

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